477604005921 has 27 divisors (see below), whose sum is σ = 802529076531. Its totient is φ = 272908281744.

The previous prime is 477604005911. The next prime is 477604005941. The reversal of 477604005921 is 129500406774.

The square root of 477604005921 is 691089.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 409138050321 + 68465955600 = 639639^2 + 261660^2 .

It is a de Polignac number, because none of the positive numbers 2^k-477604005921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (477604005911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14496415 + ... + 14529323.

Almost surely, 2^477604005921 is an apocalyptic number.

477604005921 is the 691089-th square number.

477604005921 is the 345545-th centered octagonal number.

It is an amenable number.

477604005921 is a deficient number, since it is larger than the sum of its proper divisors (324925070610).

477604005921 is an frugal number, since it uses more digits than its factorization.

477604005921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65838 (or 32919 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 477604005921 in words is "four hundred seventy-seven billion, six hundred four million, five thousand, nine hundred twenty-one".